Additive bases in groups

Victor Lambert; Thái Hoàng Lê; Alain Plagne

doi:10.1007/s11856-017-1452-8

Additive bases in groups

Victor Lambert
, Thái Hoàng Lê
, Alain Plagne

Centre de Mathématiques Laurent Schwartz Ecole Polytechnique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We study the problem of removing an element from an additive basis in a general abelian group. We introduce analogues of the classical functions X, S and E (defined in the case of ℕ) and obtain bounds on them. Our estimates on the functions S_G and E_G are valid for general abelian groups G while in the case of X_G we show that distinct types of behaviours may occur depending on G.

langue originale	Anglais
Pages (de - à)	383-411
Nombre de pages	29
journal	Israel Journal of Mathematics
Volume	217
Numéro de publication	1
Les DOIs	https://doi.org/10.1007/s11856-017-1452-8
état	Publié - 1 mars 2017

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10.1007/s11856-017-1452-8

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abstract = "We study the problem of removing an element from an additive basis in a general abelian group. We introduce analogues of the classical functions X, S and E (defined in the case of ℕ) and obtain bounds on them. Our estimates on the functions SG and EG are valid for general abelian groups G while in the case of XG we show that distinct types of behaviours may occur depending on G.",

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AB - We study the problem of removing an element from an additive basis in a general abelian group. We introduce analogues of the classical functions X, S and E (defined in the case of ℕ) and obtain bounds on them. Our estimates on the functions SG and EG are valid for general abelian groups G while in the case of XG we show that distinct types of behaviours may occur depending on G.

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Additive bases in groups

Résumé

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